KP方程的精确行波解

Exact Travelling Solutions to KP Equation

借助一个新的代数方法,其算法为研究一个一阶并具有六次非线性项的微分方程,研究了KP方程,得到新的孤波解和周期解,这种方法也适合研究其他的非线性演化方程。

With the help of a new algebra method, whose algorithm is to study a first order ordinary differential equation with a six-degree nonlinear term. KP equation is studied, and new solitary wave solutions and periodic wave solutions are obtained. This approach can also be applied to solve other nonlinear evolution equations.